1353807 has 64 divisors (see below), whose sum is σ = 2688000. Its totient is φ = 653184.

The previous prime is 1353791. The next prime is 1353809. The reversal of 1353807 is 7083531.

It is not a de Polignac number, because 1353807 - 2⁴ = 1353791 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353809) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46669 + ... + 46697.

It is an arithmetic number, because the mean of its divisors is an integer number (42000).

2^1353807 is an apocalyptic number.

1353807 is a deficient number, since it is larger than the sum of its proper divisors (1334193).

1353807 is a wasteful number, since it uses less digits than its factorization.

1353807 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1353807 is about 1163.5321224616. The cubic root of 1353807 is about 110.6247371439.

The spelling of 1353807 in words is "one million, three hundred fifty-three thousand, eight hundred seven".