1290393 has 24 divisors (see below), whose sum is σ = 2063880. Its totient is φ = 771840.

The previous prime is 1290379. The next prime is 1290427. The reversal of 1290393 is 3930921.

It can be written as a sum of positive squares in 4 ways, for example, as 149769 + 1140624 = 387^2 + 1068^2 .

It is not a de Polignac number, because 1290393 - 2⁶ = 1290329 is a prime.

It is a super-2 number, since 2×1290393² = 3330228188898, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1290293) 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, 4663 + ... + 4931.

It is an arithmetic number, because the mean of its divisors is an integer number (85995).

2^1290393 is an apocalyptic number.

1290393 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1290393 is a deficient number, since it is larger than the sum of its proper divisors (773487).

1290393 is a wasteful number, since it uses less digits than its factorization.

1290393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 1290393 is about 1135.9546645883. The cubic root of 1290393 is about 108.8697768684.

It can be divided in two parts, 12903 and 93, that added together give a square (12996 = 114²).

The spelling of 1290393 in words is "one million, two hundred ninety thousand, three hundred ninety-three".