31197960 has 80 divisors (see below), whose sum is σ = 104870700. Its totient is φ = 8318592.

The previous prime is 31197953. The next prime is 31197967. The reversal of 31197960 is 6979113.

It is an interprime number because it is at equal distance from previous prime (31197953) and next prime (31197967).

It can be written as a sum of positive squares in 2 ways, for example, as 28965924 + 2232036 = 5382^2 + 1494^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (31197967) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1575 + ... + 8054.

Almost surely, 2^31197960 is an apocalyptic number.

31197960 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 31197960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52435350).

31197960 is an abundant number, since it is smaller than the sum of its proper divisors (73672740).

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

31197960 is a wasteful number, since it uses less digits than its factorization.

31197960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9652 (or 9639 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 31197960 is about 5585.5134052296. The cubic root of 31197960 is about 314.8053218856.

The spelling of 31197960 in words is "thirty-one million, one hundred ninety-seven thousand, nine hundred sixty".