10837153 has 2 divisors, whose sum is σ = 10837154. Its totient is φ = 10837152.

The previous prime is 10837147. The next prime is 10837159. The reversal of 10837153 is 35173801.

It is a balanced prime because it is at equal distance from previous prime (10837147) and next prime (10837159).

It can be written as a sum of positive squares in only one way, i.e., 8714304 + 2122849 = 2952^2 + 1457^2 .

It is a cyclic number.

It is not a de Polignac number, because 10837153 - 2⁵ = 10837121 is a prime.

It is equal to p₇₁₆₄₄₆ and since 10837153 and 716446 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 (10837159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5418576 + 5418577.

It is an arithmetic number, because the mean of its divisors is an integer number (5418577).

Almost surely, 2^10837153 is an apocalyptic number.

It is an amenable number.

10837153 is a deficient number, since it is larger than the sum of its proper divisors (1).

10837153 is an equidigital number, since it uses as much as digits as its factorization.

10837153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 10837153 is about 3291.9831409046. The cubic root of 10837153 is about 221.2950680107.

The spelling of 10837153 in words is "ten million, eight hundred thirty-seven thousand, one hundred fifty-three".