782053 has 2 divisors, whose sum is σ = 782054. Its totient is φ = 782052.

The previous prime is 782011. The next prime is 782057. The reversal of 782053 is 350287.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 487204 + 294849 = 698^2 + 543^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-782053 is a prime.

It is a super-2 number, since 2×782053² = 1223213789618, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (782057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 391026 + 391027.

It is an arithmetic number, because the mean of its divisors is an integer number (391027).

2⁷⁸²⁰⁵³ is an apocalyptic number.

It is an amenable number.

782053 is a deficient number, since it is larger than the sum of its proper divisors (1).

782053 is an equidigital number, since it uses as much as digits as its factorization.

782053 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 782053 is about 884.3376052165. The cubic root of 782053 is about 92.1323316188.

The spelling of 782053 in words is "seven hundred eighty-two thousand, fifty-three".