1288413 has 32 divisors (see below), whose sum is σ = 2315520. Its totient is φ = 691200.

The previous prime is 1288393. The next prime is 1288421. The reversal of 1288413 is 3148821.

It is not a de Polignac number, because 1288413 - 2⁶ = 1288349 is a prime.

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

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3013 + ... + 3413.

It is an arithmetic number, because the mean of its divisors is an integer number (72360).

2^1288413 is an apocalyptic number.

It is an amenable number.

1288413 is a deficient number, since it is larger than the sum of its proper divisors (1027107).

1288413 is a wasteful number, since it uses less digits than its factorization.

1288413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 428 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 1288413 is about 1135.0828163619. The cubic root of 1288413 is about 108.8140645115.

The spelling of 1288413 in words is "one million, two hundred eighty-eight thousand, four hundred thirteen".