536952 has 32 divisors (see below), whose sum is σ = 1446480. Its totient is φ = 165120.

The previous prime is 536947. The next prime is 536953. The reversal of 536952 is 259635.

It is a d-powerful number, because it can be written as 5² + 3¹² + 9³ + 6² + 5⁴ + 2¹² .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 536952.

It is not an unprimeable number, because it can be changed into a prime (536953) by changing a digit.

536952 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 7 ways as a sum of consecutive naturals, for example, 549 + ... + 1172.

2⁵³⁶⁹⁵² is an apocalyptic number.

536952 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

536952 is an abundant number, since it is smaller than the sum of its proper divisors (909528).

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

536952 is a wasteful number, since it uses less digits than its factorization.

536952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743 (or 1739 counting only the distinct ones).

The product of its digits is 8100, while the sum is 30.

The square root of 536952 is about 732.7700867257. The cubic root of 536952 is about 81.2790255272.

The spelling of 536952 in words is "five hundred thirty-six thousand, nine hundred fifty-two".