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10036457 is a prime number
BaseRepresentation
bin100110010010…
…010011101001
3200212220102122
4212102103221
510032131312
6555041025
7151210544
oct46222351
920786378
1010036457
1157355a2
123440175
132105342
14149385b
15d33b72
hex9924e9

10036457 has 2 divisors, whose sum is σ = 10036458. Its totient is φ = 10036456.

The previous prime is 10036421. The next prime is 10036459. The reversal of 10036457 is 75463001.

Adding to 10036457 its reverse (75463001), we get a palindrome (85499458).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9357481 + 678976 = 3059^2 + 824^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10036457 is a prime.

It is a super-2 number, since 2×100364572 = 201460938225698, which contains 22 as substring.

Together with 10036459, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10036459) 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, 5018228 + 5018229.

It is an arithmetic number, because the mean of its divisors is an integer number (5018229).

Almost surely, 210036457 is an apocalyptic number.

It is an amenable number.

10036457 is a deficient number, since it is larger than the sum of its proper divisors (1).

10036457 is an equidigital number, since it uses as much as digits as its factorization.

10036457 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 26.

The square root of 10036457 is about 3168.0367737765. The cubic root of 10036457 is about 215.7049655658.

The spelling of 10036457 in words is "ten million, thirty-six thousand, four hundred fifty-seven".