37132013 has 2 divisors, whose sum is σ = 37132014. Its totient is φ = 37132012.

The previous prime is 37131971. The next prime is 37132027. The reversal of 37132013 is 31023173.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27478564 + 9653449 = 5242^2 + 3107^2 .

It is an emirp because it is prime and its reverse (31023173) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-37132013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37132033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18566006 + 18566007.

It is an arithmetic number, because the mean of its divisors is an integer number (18566007).

Almost surely, 2^37132013 is an apocalyptic number.

It is an amenable number.

37132013 is a deficient number, since it is larger than the sum of its proper divisors (1).

37132013 is an equidigital number, since it uses as much as digits as its factorization.

37132013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 37132013 is about 6093.6042700523. The cubic root of 37132013 is about 333.6180180169.

Adding to 37132013 its reverse (31023173), we get a palindrome (68155186).

The spelling of 37132013 in words is "thirty-seven million, one hundred thirty-two thousand, thirteen".