10711953 has 48 divisors (see below), whose sum is σ = 19263360. Its totient is φ = 5762016.

The previous prime is 10711937. The next prime is 10711973. The reversal of 10711953 is 35911701.

It is a happy number.

10711953 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 10711953 - 2⁴ = 10711937 is a prime.

It is a super-2 number, since 2×10711953² = 229491874148418, which contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10711973) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68151 + ... + 68307.

It is an arithmetic number, because the mean of its divisors is an integer number (401320).

Almost surely, 2^10711953 is an apocalyptic number.

It is an amenable number.

10711953 is a deficient number, since it is larger than the sum of its proper divisors (8551407).

10711953 is a wasteful number, since it uses less digits than its factorization.

10711953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 27.

The square root of 10711953 is about 3272.9120061499. The cubic root of 10711953 is about 220.4395687974.

It can be divided in two parts, 10711 and 953, that added together give a square (11664 = 108²).

The spelling of 10711953 in words is "ten million, seven hundred eleven thousand, nine hundred fifty-three".