261924831 has 24 divisors (see below), whose sum is σ = 457820064. Its totient is φ = 140866560.

The previous prime is 261924821. The next prime is 261924841. The reversal of 261924831 is 138429162.

261924831 is a `hidden beast` number, since 2 + 619 + 2 + 4 + 8 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (261924821) and next prime (261924841).

It is not a de Polignac number, because 261924831 - 2¹⁵ = 261892063 is a prime.

It is a super-2 number, since 2×261924831² = 137209234188757122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261924821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121210 + ... + 123351.

It is an arithmetic number, because the mean of its divisors is an integer number (19075836).

Almost surely, 2^261924831 is an apocalyptic number.

261924831 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

261924831 is a deficient number, since it is larger than the sum of its proper divisors (195895233).

261924831 is a wasteful number, since it uses less digits than its factorization.

261924831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244591 (or 244588 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 261924831 is about 16184.0919115037. The cubic root of 261924831 is about 639.8215900813.

The spelling of 261924831 in words is "two hundred sixty-one million, nine hundred twenty-four thousand, eight hundred thirty-one".