351972 has 24 divisors (see below), whose sum is σ = 912800. Its totient is φ = 117288.

The previous prime is 351971. The next prime is 351991. The reversal of 351972 is 279153.

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

It is not an unprimeable number, because it can be changed into a prime (351971) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1522 + ... + 1737.

2³⁵¹⁹⁷² is an apocalyptic number.

It is an amenable number.

351972 is an abundant number, since it is smaller than the sum of its proper divisors (560828).

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

351972 is a wasteful number, since it uses less digits than its factorization.

351972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3272 (or 3264 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 351972 is about 593.2722815032. The cubic root of 351972 is about 70.6050945025.

The spelling of 351972 in words is "three hundred fifty-one thousand, nine hundred seventy-two".