11517953 has 2 divisors, whose sum is σ = 11517954. Its totient is φ = 11517952.

The previous prime is 11517949. The next prime is 11517973. The reversal of 11517953 is 35971511.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9591409 + 1926544 = 3097^2 + 1388^2 .

It is a cyclic number.

It is not a de Polignac number, because 11517953 - 2² = 11517949 is a prime.

It is a Chen prime.

It is equal to p₇₅₈₃₇₂ and since 11517953 and 758372 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (11517943) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5758976 + 5758977.

It is an arithmetic number, because the mean of its divisors is an integer number (5758977).

It is a Proth number, since it is equal to 703 ⋅ 2¹⁴ + 1 and 703 < 2¹⁴.

Almost surely, 2^11517953 is an apocalyptic number.

It is an amenable number.

11517953 is a deficient number, since it is larger than the sum of its proper divisors (1).

11517953 is an equidigital number, since it uses as much as digits as its factorization.

11517953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4725, while the sum is 32.

The square root of 11517953 is about 3393.8109847191. The cubic root of 11517953 is about 225.8352690505.

The spelling of 11517953 in words is "eleven million, five hundred seventeen thousand, nine hundred fifty-three".