354252 has 24 divisors (see below), whose sum is σ = 843696. Its totient is φ = 115648.

The previous prime is 354251. The next prime is 354253. The reversal of 354252 is 252453.

It is an interprime number because it is at equal distance from previous prime (354251) and next prime (354253).

It is a super-3 number, since 3×354252³ = 133370011059753024, which contains 333 as substring.

It is a plaindrome in base 16.

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 354252.

It is not an unprimeable number, because it can be changed into a prime (354251) 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, 358 + ... + 914.

It is an arithmetic number, because the mean of its divisors is an integer number (35154).

2³⁵⁴²⁵² is an apocalyptic number.

It is an amenable number.

354252 is an abundant number, since it is smaller than the sum of its proper divisors (489444).

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

354252 is a wasteful number, since it uses less digits than its factorization.

354252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 615 counting only the distinct ones).

The product of its digits is 1200, while the sum is 21.

The square root of 354252 is about 595.1907257342. The cubic root of 354252 is about 70.7572214365.

It can be divided in two parts, 354 and 252, that added together give a palindrome (606).

The spelling of 354252 in words is "three hundred fifty-four thousand, two hundred fifty-two".