71137001 has 6 divisors (see below), whose sum is σ = 77030190. Its totient is φ = 65664768.

The previous prime is 71136983. The next prime is 71137013. The reversal of 71137001 is 10073117.

It can be written as a sum of positive squares in 3 ways, for example, as 2247001 + 68890000 = 1499^2 + 8300^2 .

It is not a de Polignac number, because 71137001 - 2¹⁴ = 71120617 is a prime.

It is a super-2 number, since 2×71137001² = 10120945822548002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71137021) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 210296 + ... + 210633.

It is an arithmetic number, because the mean of its divisors is an integer number (12838365).

Almost surely, 2^71137001 is an apocalyptic number.

It is an amenable number.

71137001 is a deficient number, since it is larger than the sum of its proper divisors (5893189).

71137001 is a wasteful number, since it uses less digits than its factorization.

71137001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420955 (or 420942 counting only the distinct ones).

The product of its (nonzero) digits is 147, while the sum is 20.

The square root of 71137001 is about 8434.2753689929. The cubic root of 71137001 is about 414.3479400502.

The spelling of 71137001 in words is "seventy-one million, one hundred thirty-seven thousand, one".