352962 has 12 divisors (see below), whose sum is σ = 764790. Its totient is φ = 117648.

The previous prime is 352951. The next prime is 352973. The reversal of 352962 is 269253.

It is an interprime number because it is at equal distance from previous prime (352951) and next prime (352973).

It can be written as a sum of positive squares in only one way, i.e., 184041 + 168921 = 429^2 + 411^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 352962.

It is an unprimeable number.

352962 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9787 + ... + 9822.

352962 is a Friedman number, since it can be written as 9+3*(2+(5+2)^6), using all its digits and the basic arithmetic operations.

2³⁵²⁹⁶² is an apocalyptic number.

352962 is an abundant number, since it is smaller than the sum of its proper divisors (411828).

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

352962 is a wasteful number, since it uses less digits than its factorization.

352962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19617 (or 19614 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 352962 is about 594.1060511390. The cubic root of 352962 is about 70.6712300759.

The spelling of 352962 in words is "three hundred fifty-two thousand, nine hundred sixty-two".