971661312 has 224 divisors, whose sum is σ = 3019714560. Its totient is φ = 308183040.

The previous prime is 971661287. The next prime is 971661323. The reversal of 971661312 is 213166179.

It is a super-2 number, since 2×971661312² = 1888251410475122688, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5087137 + ... + 5087327.

Almost surely, 2^971661312 is an apocalyptic number.

971661312 is a gapful number since it is divisible by the number (92) 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 971661312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509857280).

971661312 is an abundant number, since it is smaller than the sum of its proper divisors (2048053248).

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

971661312 is a wasteful number, since it uses less digits than its factorization.

971661312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 219 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 971661312 is about 31171.4823516624. The cubic root of 971661312 is about 990.4631074819.

The spelling of 971661312 in words is "nine hundred seventy-one million, six hundred sixty-one thousand, three hundred twelve".