132825 has 48 divisors (see below), whose sum is σ = 285696. Its totient is φ = 52800.

The previous prime is 132817. The next prime is 132833. The reversal of 132825 is 528231.

It is an interprime number because it is at equal distance from previous prime (132817) and next prime (132833).

It is not a de Polignac number, because 132825 - 2³ = 132817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 132825.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5764 + ... + 5786.

It is an arithmetic number, because the mean of its divisors is an integer number (5952).

2¹³²⁸²⁵ is an apocalyptic number.

132825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132825 is an abundant number, since it is smaller than the sum of its proper divisors (152871).

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

132825 is a wasteful number, since it uses less digits than its factorization.

132825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 49 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 132825 is about 364.4516428828. The cubic root of 132825 is about 51.0222893728.

It can be divided in two parts, 132 and 825, that multiplied together give a square (108900 = 330²).

The spelling of 132825 in words is "one hundred thirty-two thousand, eight hundred twenty-five".