13737000961 has 8 divisors (see below), whose sum is σ = 13812309504. Its totient is φ = 13661728080.

The previous prime is 13737000929. The next prime is 13737000967. The reversal of 13737000961 is 16900073731.

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 13737000961 - 2⁵ = 13737000929 is a prime.

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 13737000961.

It is not an unprimeable number, because it can be changed into a prime (13737000967) 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, 1216206 + ... + 1227448.

It is an arithmetic number, because the mean of its divisors is an integer number (1726538688).

It is a Proth number, since it is equal to 104805 ⋅ 2¹⁷ + 1 and 104805 < 2¹⁷.

Almost surely, 2^13737000961 is an apocalyptic number.

It is an amenable number.

13737000961 is a deficient number, since it is larger than the sum of its proper divisors (75308543).

13737000961 is a wasteful number, since it uses less digits than its factorization.

13737000961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17831.

The product of its (nonzero) digits is 23814, while the sum is 37.

The spelling of 13737000961 in words is "thirteen billion, seven hundred thirty-seven million, nine hundred sixty-one", and thus it is an aban number.