16130961 has 32 divisors (see below), whose sum is σ = 29798400. Its totient is φ = 8378640.

The previous prime is 16130957. The next prime is 16130971. The reversal of 16130961 is 16903161.

16130961 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 16130961 - 2² = 16130957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (16130911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1801 + ... + 5958.

It is an arithmetic number, because the mean of its divisors is an integer number (931200).

Almost surely, 2^16130961 is an apocalyptic number.

16130961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16130961 is a deficient number, since it is larger than the sum of its proper divisors (13667439).

16130961 is a wasteful number, since it uses less digits than its factorization.

16130961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7786 (or 7780 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 16130961 is about 4016.3367637687. The cubic root of 16130961 is about 252.6698448820.

The spelling of 16130961 in words is "sixteen million, one hundred thirty thousand, nine hundred sixty-one".