292125 has 32 divisors (see below), whose sum is σ = 524160. Its totient is φ = 144000.

The previous prime is 292093. The next prime is 292133. The reversal of 292125 is 521292.

It is not a de Polignac number, because 292125 - 2⁵ = 292093 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

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 292125.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7105 + ... + 7145.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2²⁹²¹²⁵ is an apocalyptic number.

292125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

292125 is a deficient number, since it is larger than the sum of its proper divisors (232035).

292125 is a wasteful number, since it uses less digits than its factorization.

292125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 68 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 292125 is about 540.4858925078. The cubic root of 292125 is about 66.3523397525.

The spelling of 292125 in words is "two hundred ninety-two thousand, one hundred twenty-five".