37633961 has 2 divisors, whose sum is σ = 37633962. Its totient is φ = 37633960.

The previous prime is 37633949. The next prime is 37633979. The reversal of 37633961 is 16933673.

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., 37515625 + 118336 = 6125^2 + 344^2 .

It is an emirp because it is prime and its reverse (16933673) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 37633961 - 2¹⁰ = 37632937 is a prime.

It is not a weakly prime, because it can be changed into another prime (37633931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18816980 + 18816981.

It is an arithmetic number, because the mean of its divisors is an integer number (18816981).

Almost surely, 2^37633961 is an apocalyptic number.

37633961 is the 2744-th centered decagonal number.

It is an amenable number.

37633961 is a deficient number, since it is larger than the sum of its proper divisors (1).

37633961 is an equidigital number, since it uses as much as digits as its factorization.

37633961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 61236, while the sum is 38.

The square root of 37633961 is about 6134.6524758946. The cubic root of 37633961 is about 335.1145698570.

The spelling of 37633961 in words is "thirty-seven million, six hundred thirty-three thousand, nine hundred sixty-one".