37680457 has 2 divisors, whose sum is σ = 37680458. Its totient is φ = 37680456.

The previous prime is 37680437. The next prime is 37680473. The reversal of 37680457 is 75408673.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34621456 + 3059001 = 5884^2 + 1749^2 .

It is a cyclic number.

It is not a de Polignac number, because 37680457 - 2²³ = 29291849 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (37680437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18840228 + 18840229.

It is an arithmetic number, because the mean of its divisors is an integer number (18840229).

Almost surely, 2^37680457 is an apocalyptic number.

It is an amenable number.

37680457 is a deficient number, since it is larger than the sum of its proper divisors (1).

37680457 is an equidigital number, since it uses as much as digits as its factorization.

37680457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 37680457 is about 6138.4409258378. The cubic root of 37680457 is about 335.2525221582.

The spelling of 37680457 in words is "thirty-seven million, six hundred eighty thousand, four hundred fifty-seven".