10077257 has 4 divisors (see below), whose sum is σ = 10083840. Its totient is φ = 10070676.

The previous prime is 10077253. The next prime is 10077293. The reversal of 10077257 is 75277001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 75277001 = 89 ⋅845809.

It is a cyclic number.

It is not a de Polignac number, because 10077257 - 2² = 10077253 is a prime.

It is a super-2 number, since 2×10077257² = 203102217288098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10077253) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 344 + ... + 4502.

It is an arithmetic number, because the mean of its divisors is an integer number (2520960).

Almost surely, 2^10077257 is an apocalyptic number.

It is an amenable number.

10077257 is a deficient number, since it is larger than the sum of its proper divisors (6583).

10077257 is an equidigital number, since it uses as much as digits as its factorization.

10077257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6582.

The product of its (nonzero) digits is 3430, while the sum is 29.

The square root of 10077257 is about 3174.4695619898. The cubic root of 10077257 is about 215.9968635233.

The spelling of 10077257 in words is "ten million, seventy-seven thousand, two hundred fifty-seven".