23077825 has 24 divisors (see below), whose sum is σ = 29944760. Its totient is φ = 17625600.

The previous prime is 23077777. The next prime is 23077841. The reversal of 23077825 is 52877032.

23077825 = T₁₁₀ + T₁₁₁ + ... + T₅₁₈.

23077825 = 373² + 374² + ... + 494².

It can be written as a sum of positive squares in 12 ways, for example, as 2944656 + 20133169 = 1716^2 + 4487^2 .

It is not a de Polignac number, because 23077825 - 2⁷ = 23077697 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56221 + ... + 56629.

Almost surely, 2^23077825 is an apocalyptic number.

23077825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23077825 is a deficient number, since it is larger than the sum of its proper divisors (6866935).

23077825 is a wasteful number, since it uses less digits than its factorization.

23077825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 23077825 is about 4803.9384883656. The cubic root of 23077825 is about 284.7070962242.

The spelling of 23077825 in words is "twenty-three million, seventy-seven thousand, eight hundred twenty-five".