823977025 has 9 divisors (see below), whose sum is σ = 1021909513. Its totient is φ = 659066800.

The previous prime is 823976987. The next prime is 823977043. The reversal of 823977025 is 520779328.

The square root of 823977025 is 28705.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 16507969 + 807469056 = 4063^2 + 28416^2 .

It is not a de Polignac number, because 823977025 - 2⁷ = 823976897 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 140655 + ... + 146395.

Almost surely, 2^823977025 is an apocalyptic number.

823977025 is the 28705-th square number.

823977025 is the 14353-rd centered octagonal number.

It is an amenable number.

823977025 is a deficient number, since it is larger than the sum of its proper divisors (197932488).

823977025 is an frugal number, since it uses more digits than its factorization.

823977025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11492 (or 5746 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 43.

The cubic root of 823977025 is about 937.5009161473.

It can be divided in two parts, 8239 and 77025, that added together give a square (85264 = 292²).

The spelling of 823977025 in words is "eight hundred twenty-three million, nine hundred seventy-seven thousand, twenty-five".