10019957 has 2 divisors, whose sum is σ = 10019958. Its totient is φ = 10019956.

The previous prime is 10019951. The next prime is 10019963. The reversal of 10019957 is 75991001.

10019957 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (10019951) and next prime (10019963).

It can be written as a sum of positive squares in only one way, i.e., 7431076 + 2588881 = 2726^2 + 1609^2 .

It is a cyclic number.

It is not a de Polignac number, because 10019957 - 2⁴ = 10019941 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10019951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5009978 + 5009979.

It is an arithmetic number, because the mean of its divisors is an integer number (5009979).

Almost surely, 2^10019957 is an apocalyptic number.

It is an amenable number.

10019957 is a deficient number, since it is larger than the sum of its proper divisors (1).

10019957 is an equidigital number, since it uses as much as digits as its factorization.

10019957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2835, while the sum is 32.

The square root of 10019957 is about 3165.4315661533. The cubic root of 10019957 is about 215.5866939444.

The spelling of 10019957 in words is "ten million, nineteen thousand, nine hundred fifty-seven".