71631001 has 8 divisors (see below), whose sum is σ = 79226504. Its totient is φ = 64333440.

The previous prime is 71630981. The next prime is 71631011. The reversal of 71631001 is 10013617.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13505625 + 58125376 = 3675^2 + 7624^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 71631001 - 2⁷ = 71630873 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 71631001.

It is not an unprimeable number, because it can be changed into a prime (71631011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73980 + ... + 74941.

It is an arithmetic number, because the mean of its divisors is an integer number (9903313).

Almost surely, 2^71631001 is an apocalyptic number.

It is an amenable number.

71631001 is a deficient number, since it is larger than the sum of its proper divisors (7595503).

71631001 is a wasteful number, since it uses less digits than its factorization.

71631001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148971.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 71631001 is about 8463.5099692740. The cubic root of 71631001 is about 415.3048536636.

Adding to 71631001 its reverse (10013617), we get a palindrome (81644618).

The spelling of 71631001 in words is "seventy-one million, six hundred thirty-one thousand, one".