37129973 has 2 divisors, whose sum is σ = 37129974. Its totient is φ = 37129972.

The previous prime is 37129949. The next prime is 37129991. The reversal of 37129973 is 37992173.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23639044 + 13490929 = 4862^2 + 3673^2 .

It is an emirp because it is prime and its reverse (37992173) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 37129973 - 2¹⁴ = 37113589 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 37129973.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37129903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18564986 + 18564987.

It is an arithmetic number, because the mean of its divisors is an integer number (18564987).

Almost surely, 2^37129973 is an apocalyptic number.

It is an amenable number.

37129973 is a deficient number, since it is larger than the sum of its proper divisors (1).

37129973 is an equidigital number, since it uses as much as digits as its factorization.

37129973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 71442, while the sum is 41.

The square root of 37129973 is about 6093.4368791348. The cubic root of 37129973 is about 333.6119083453.

The spelling of 37129973 in words is "thirty-seven million, one hundred twenty-nine thousand, nine hundred seventy-three".