10958961 has 16 divisors (see below), whose sum is σ = 15795584. Its totient is φ = 6718464.

The previous prime is 10958939. The next prime is 10958977. The reversal of 10958961 is 16985901.

10958961 = T₃₇₃ + T₃₇₄ + ... + T₄₈₉.

10958961 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 10958961 - 2¹³ = 10950769 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10958461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18705 + ... + 19281.

It is an arithmetic number, because the mean of its divisors is an integer number (987224).

Almost surely, 2^10958961 is an apocalyptic number.

It is an amenable number.

10958961 is a deficient number, since it is larger than the sum of its proper divisors (4836623).

10958961 is a wasteful number, since it uses less digits than its factorization.

10958961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080.

The product of its (nonzero) digits is 19440, while the sum is 39.

The square root of 10958961 is about 3310.4321470165. The cubic root of 10958961 is about 222.1210888793.

The spelling of 10958961 in words is "ten million, nine hundred fifty-eight thousand, nine hundred sixty-one".