823131045 has 128 divisors (see below), whose sum is σ = 1670492160. Its totient is φ = 381024000.

The previous prime is 823131037. The next prime is 823131077. The reversal of 823131045 is 540131328.

It is a happy number.

It is not a de Polignac number, because 823131045 - 2³ = 823131037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3900990 + ... + 3901200.

It is an arithmetic number, because the mean of its divisors is an integer number (13050720).

Almost surely, 2^823131045 is an apocalyptic number.

It is an amenable number.

823131045 is an abundant number, since it is smaller than the sum of its proper divisors (847361115).

823131045 is a wasteful number, since it uses less digits than its factorization.

823131045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 823131045 is about 28690.2604554228. The cubic root of 823131045 is about 937.1799611592.

The spelling of 823131045 in words is "eight hundred twenty-three million, one hundred thirty-one thousand, forty-five".