352957 has 6 divisors (see below), whose sum is σ = 388094. Its totient is φ = 320760.

The previous prime is 352951. The next prime is 352973. The reversal of 352957 is 759253.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 352836 + 121 = 594^2 + 11^2 .

It is not a de Polignac number, because 352957 - 2³ = 352949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352951) 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 5 ways as a sum of consecutive naturals, for example, 1338 + ... + 1579.

2³⁵²⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

352957 is a deficient number, since it is larger than the sum of its proper divisors (35137).

352957 is a wasteful number, since it uses less digits than its factorization.

352957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2939 (or 2928 counting only the distinct ones).

The product of its digits is 9450, while the sum is 31.

The square root of 352957 is about 594.1018431212. The cubic root of 352957 is about 70.6708963688.

It can be divided in two parts, 35 and 2957, that added together give a palindrome (2992).

The spelling of 352957 in words is "three hundred fifty-two thousand, nine hundred fifty-seven".