352961 has 4 divisors (see below), whose sum is σ = 403392. Its totient is φ = 302532.

The previous prime is 352951. The next prime is 352973. The reversal of 352961 is 169253.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 169253 = 7 ⋅24179.

It is a cyclic number.

It is not a de Polignac number, because 352961 - 2¹⁴ = 336577 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 352961.

It is not an unprimeable number, because it can be changed into a prime (352931) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25205 + ... + 25218.

It is an arithmetic number, because the mean of its divisors is an integer number (100848).

352961 is a Friedman number, since it can be written as 3*(5+(9-2)^6)-1, using all its digits and the basic arithmetic operations.

2³⁵²⁹⁶¹ is an apocalyptic number.

It is an amenable number.

352961 is a deficient number, since it is larger than the sum of its proper divisors (50431).

352961 is an equidigital number, since it uses as much as digits as its factorization.

352961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50430.

The product of its digits is 1620, while the sum is 26.

The square root of 352961 is about 594.1052095378. The cubic root of 352961 is about 70.6711633348.

The spelling of 352961 in words is "three hundred fifty-two thousand, nine hundred sixty-one".