10724137 has 2 divisors, whose sum is σ = 10724138. Its totient is φ = 10724136.

The previous prime is 10724101. The next prime is 10724159. The reversal of 10724137 is 73142701.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9126441 + 1597696 = 3021^2 + 1264^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10724137 is a prime.

It is a super-2 number, since 2×10724137² = 230014228789538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10724177) 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, 5362068 + 5362069.

It is an arithmetic number, because the mean of its divisors is an integer number (5362069).

Almost surely, 2^10724137 is an apocalyptic number.

It is an amenable number.

10724137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10724137 is an equidigital number, since it uses as much as digits as its factorization.

10724137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 10724137 is about 3274.7728165477. The cubic root of 10724137 is about 220.5231146594.

Adding to 10724137 its reverse (73142701), we get a palindrome (83866838).

The spelling of 10724137 in words is "ten million, seven hundred twenty-four thousand, one hundred thirty-seven".