358972 has 12 divisors (see below), whose sum is σ = 665280. Its totient is φ = 168896.

The previous prime is 358951. The next prime is 358973. The reversal of 358972 is 279853.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (358973) by changing a digit.

358972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2572 + ... + 2707.

It is an arithmetic number, because the mean of its divisors is an integer number (55440).

2³⁵⁸⁹⁷² is an apocalyptic number.

It is an amenable number.

358972 is a deficient number, since it is larger than the sum of its proper divisors (306308).

358972 is a wasteful number, since it uses less digits than its factorization.

358972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5300 (or 5298 counting only the distinct ones).

The product of its digits is 15120, while the sum is 34.

The square root of 358972 is about 599.1427208938. The cubic root of 358972 is about 71.0700888253.

The spelling of 358972 in words is "three hundred fifty-eight thousand, nine hundred seventy-two".