1357407 has 12 divisors (see below), whose sum is σ = 2003040. Its totient is φ = 885408.

The previous prime is 1357361. The next prime is 1357423. The reversal of 1357407 is 7047531.

It is not a de Polignac number, because 1357407 - 2¹² = 1353311 is a prime.

It is a d-powerful number, because it can be written as 1 + 3¹² + 5 + 7⁴ + 4² + 0 + 7⁷ .

1357407 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1357427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1182 + ... + 2027.

It is an arithmetic number, because the mean of its divisors is an integer number (166920).

2^1357407 is an apocalyptic number.

1357407 is a deficient number, since it is larger than the sum of its proper divisors (645633).

1357407 is a wasteful number, since it uses less digits than its factorization.

1357407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3262 (or 3259 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 1357407 is about 1165.0781089695. The cubic root of 1357407 is about 110.7227069359.

It can be divided in two parts, 1357 and 407, that added together give a square (1764 = 42²).

The spelling of 1357407 in words is "one million, three hundred fifty-seven thousand, four hundred seven".