37414801 has 2 divisors, whose sum is σ = 37414802. Its totient is φ = 37414800.

The previous prime is 37414757. The next prime is 37414829. The reversal of 37414801 is 10841473.

It is an a-pointer prime, because the next prime (37414829) can be obtained adding 37414801 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36917776 + 497025 = 6076^2 + 705^2 .

It is a cyclic number.

It is not a de Polignac number, because 37414801 - 2²⁵ = 3860369 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 37414801.

It is not a weakly prime, because it can be changed into another prime (37414001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18707400 + 18707401.

It is an arithmetic number, because the mean of its divisors is an integer number (18707401).

Almost surely, 2^37414801 is an apocalyptic number.

37414801 is the 2736-th centered decagonal number.

It is an amenable number.

37414801 is a deficient number, since it is larger than the sum of its proper divisors (1).

37414801 is an equidigital number, since it uses as much as digits as its factorization.

37414801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 37414801 is about 6116.7639320150. The cubic root of 37414801 is about 334.4627938565.

The spelling of 37414801 in words is "thirty-seven million, four hundred fourteen thousand, eight hundred one".