354375 has 50 divisors (see below), whose sum is σ = 756008. Its totient is φ = 162000.

The previous prime is 354373. The next prime is 354377. The reversal of 354375 is 573453.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (354373) and next prime (354377).

It is not a de Polignac number, because 354375 - 2¹ = 354373 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 3¹¹ + 5 + 3¹¹ + 4³ + 7 + 5 .

It is a Duffinian number.

Its product of digits (6300) is a multiple of the sum of its prime divisors (15).

354375 is a lucky number.

It is a plaindrome in base 11.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354371) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 50622 + ... + 50628.

354375 is a Friedman number, since it can be written as 7*(5*3)^(5-4+3), using all its digits and the basic arithmetic operations.

2³⁵⁴³⁷⁵ is an apocalyptic number.

354375 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

354375 is an abundant number, since it is smaller than the sum of its proper divisors (401633).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

354375 is an frugal number, since it uses more digits than its factorization.

354375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 15 counting only the distinct ones).

The product of its digits is 6300, while the sum is 27.

The square root of 354375 is about 595.2940449895. The cubic root of 354375 is about 70.7654097047.

Multiplying 354375 by its sum of digits (27), we get a triangular number (9568125 = T₄₃₇₄).

Multiplying 354375 by its product of digits (6300), we get a square (2232562500 = 47250²).

It can be divided in two parts, 354 and 375, that added together give a 6-th power (729 = 3⁶).

The spelling of 354375 in words is "three hundred fifty-four thousand, three hundred seventy-five".