361350 has 72 divisors (see below), whose sum is σ = 1073592. Its totient is φ = 86400.

The previous prime is 361349. The next prime is 361351. The reversal of 361350 is 53163.

361350 is a `hidden beast` number, since 3 + 613 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (361349) and next prime (361351).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 13 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361351) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4914 + ... + 4986.

It is an arithmetic number, because the mean of its divisors is an integer number (14911).

2³⁶¹³⁵⁰ is an apocalyptic number.

361350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 361350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536796).

361350 is an abundant number, since it is smaller than the sum of its proper divisors (712242).

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

361350 is a wasteful number, since it uses less digits than its factorization.

361350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 361350 is about 601.1239472854. The cubic root of 361350 is about 71.2266775005.

It can be divided in two parts, 3613 and 50, that added together give a palindrome (3663).

The spelling of 361350 in words is "three hundred sixty-one thousand, three hundred fifty".