37661401 has 8 divisors (see below), whose sum is σ = 41011200. Its totient is φ = 34448400.

The previous prime is 37661383. The next prime is 37661417. The reversal of 37661401 is 10416673.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 37661401 - 2⁵ = 37661369 is a prime.

It is a super-2 number, since 2×37661401² = 2836762250565602, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 37661401.

It is not an unprimeable number, because it can be changed into a prime (37661471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33625 + ... + 34726.

It is an arithmetic number, because the mean of its divisors is an integer number (5126400).

Almost surely, 2^37661401 is an apocalyptic number.

37661401 is the 2745-th centered decagonal number.

It is an amenable number.

37661401 is a deficient number, since it is larger than the sum of its proper divisors (3349799).

37661401 is a wasteful number, since it uses less digits than its factorization.

37661401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68399.

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 37661401 is about 6136.8885438795. Note that the first 3 decimals coincide. The cubic root of 37661401 is about 335.1959972836.

The spelling of 37661401 in words is "thirty-seven million, six hundred sixty-one thousand, four hundred one".