971138160 has 100 divisors (see below), whose sum is σ = 3372929208. Its totient is φ = 258968448.

The previous prime is 971138123. The next prime is 971138173. The reversal of 971138160 is 61831179.

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68454 + ... + 81413.

Almost surely, 2^971138160 is an apocalyptic number.

971138160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

971138160 is an abundant number, since it is smaller than the sum of its proper divisors (2401791048).

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

971138160 is a wasteful number, since it uses less digits than its factorization.

971138160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149892 (or 149877 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 971138160 is about 31163.0897056117. The cubic root of 971138160 is about 990.2853172129.

The spelling of 971138160 in words is "nine hundred seventy-one million, one hundred thirty-eight thousand, one hundred sixty".