156825 has 36 divisors (see below), whose sum is σ = 304668. Its totient is φ = 76800.

The previous prime is 156823. The next prime is 156833. The reversal of 156825 is 528651.

156825 = T₉₄ + T₉₅ + ... + T₁₂₀.

156825 is nontrivially palindromic in base 2.

It can be written as a sum of positive squares in 6 ways, for example, as 11664 + 145161 = 108^2 + 381^2 .

It is not a de Polignac number, because 156825 - 2¹ = 156823 is a prime.

It is not an unprimeable number, because it can be changed into a prime (156823) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3805 + ... + 3845.

It is an arithmetic number, because the mean of its divisors is an integer number (8463).

2¹⁵⁶⁸²⁵ is an apocalyptic number.

156825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

156825 is a deficient number, since it is larger than the sum of its proper divisors (147843).

156825 is a wasteful number, since it uses less digits than its factorization.

156825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 66 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 156825 is about 396.0113634733. The cubic root of 156825 is about 53.9268557015.

The spelling of 156825 in words is "one hundred fifty-six thousand, eight hundred twenty-five".