31461900 has 144 divisors (see below), whose sum is σ = 99993600. Its totient is φ = 7603200.

The previous prime is 31461893. The next prime is 31461919. The reversal of 31461900 is 916413.

It is a super-2 number, since 2×31461900² = 1979702303220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158001 + ... + 158199.

It is an arithmetic number, because the mean of its divisors is an integer number (694400).

Almost surely, 2^31461900 is an apocalyptic number.

31461900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31461900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49996800).

31461900 is an abundant number, since it is smaller than the sum of its proper divisors (68531700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31461900 is a wasteful number, since it uses less digits than its factorization.

31461900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 31461900 is about 5609.0908354207. The cubic root of 31461900 is about 315.6905987234.

The spelling of 31461900 in words is "thirty-one million, four hundred sixty-one thousand, nine hundred".