1077993 has 24 divisors (see below), whose sum is σ = 1812096. Its totient is φ = 604800.

The previous prime is 1077977. The next prime is 1077997. The reversal of 1077993 is 3997701.

It is not a de Polignac number, because 1077993 - 2⁴ = 1077977 is a prime.

1077993 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4353 + ... + 4593.

It is an arithmetic number, because the mean of its divisors is an integer number (75504).

2^1077993 is an apocalyptic number.

It is an amenable number.

1077993 is a deficient number, since it is larger than the sum of its proper divisors (734103).

1077993 is a wasteful number, since it uses less digits than its factorization.

1077993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 11907, while the sum is 36.

The square root of 1077993 is about 1038.2644171886. The cubic root of 1077993 is about 102.5349632857.

It can be divided in two parts, 107 and 7993, that added together give a square (8100 = 90²).

The spelling of 1077993 in words is "one million, seventy-seven thousand, nine hundred ninety-three".