352967 has 4 divisors (see below), whose sum is σ = 354240. Its totient is φ = 351696.

The previous prime is 352951. The next prime is 352973. The reversal of 352967 is 769253.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 769253 = 19 ⋅40487.

It is a cyclic number.

It is not a de Polignac number, because 352967 - 2⁴ = 352951 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 (352907) 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, 23 + ... + 840.

It is an arithmetic number, because the mean of its divisors is an integer number (88560).

352967 is a Friedman number, since it can be written as 3*(9+(5+2)^6)-7, using all its digits and the basic arithmetic operations.

2³⁵²⁹⁶⁷ is an apocalyptic number.

352967 is a deficient number, since it is larger than the sum of its proper divisors (1273).

352967 is an equidigital number, since it uses as much as digits as its factorization.

352967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272.

The product of its digits is 11340, while the sum is 32.

The square root of 352967 is about 594.1102591270. The cubic root of 352967 is about 70.6715637799.

The spelling of 352967 in words is "three hundred fifty-two thousand, nine hundred sixty-seven".