71658401 has 2 divisors, whose sum is σ = 71658402. Its totient is φ = 71658400.

The previous prime is 71658397. The next prime is 71658407. The reversal of 71658401 is 10485617.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70576801 + 1081600 = 8401^2 + 1040^2 .

It is a cyclic number.

It is not a de Polignac number, because 71658401 - 2² = 71658397 is a prime.

It is a Chen prime.

It is equal to p_4209890 and since 71658401 and 4209890 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (71658407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35829200 + 35829201.

It is an arithmetic number, because the mean of its divisors is an integer number (35829201).

Almost surely, 2^71658401 is an apocalyptic number.

It is an amenable number.

71658401 is a deficient number, since it is larger than the sum of its proper divisors (1).

71658401 is an equidigital number, since it uses as much as digits as its factorization.

71658401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 71658401 is about 8465.1285282623. The cubic root of 71658401 is about 415.3578004893.

The spelling of 71658401 in words is "seventy-one million, six hundred fifty-eight thousand, four hundred one".