31948001 has 2 divisors, whose sum is σ = 31948002. Its totient is φ = 31948000.

The previous prime is 31947991. The next prime is 31948003. The reversal of 31948001 is 10084913.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30195025 + 1752976 = 5495^2 + 1324^2 .

It is an emirp because it is prime and its reverse (10084913) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31948001 - 2¹⁴ = 31931617 is a prime.

Together with 31948003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (31948003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15974000 + 15974001.

It is an arithmetic number, because the mean of its divisors is an integer number (15974001).

Almost surely, 2^31948001 is an apocalyptic number.

It is an amenable number.

31948001 is a deficient number, since it is larger than the sum of its proper divisors (1).

31948001 is an equidigital number, since it uses as much as digits as its factorization.

31948001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 31948001 is about 5652.2562751524. The cubic root of 31948001 is about 317.3081520233.

The spelling of 31948001 in words is "thirty-one million, nine hundred forty-eight thousand, one".