71097138 has 72 divisors (see below), whose sum is σ = 180729900. Its totient is φ = 20139840.

The previous prime is 71097137. The next prime is 71097139. The reversal of 71097138 is 83179017.

It is an interprime number because it is at equal distance from previous prime (71097137) and next prime (71097139).

It can be written as a sum of positive squares in 2 ways, for example, as 66048129 + 5049009 = 8127^2 + 2247^2 .

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 Curzon number.

It is not an unprimeable number, because it can be changed into a prime (71097137) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 131148 + ... + 131688.

Almost surely, 2^71097138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71097138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90364950).

71097138 is an abundant number, since it is smaller than the sum of its proper divisors (109632762).

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

71097138 is a wasteful number, since it uses less digits than its factorization.

71097138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 71097138 is about 8431.9118828413. The cubic root of 71097138 is about 414.2705296173.

The spelling of 71097138 in words is "seventy-one million, ninety-seven thousand, one hundred thirty-eight".