13483635 has 96 divisors (see below), whose sum is σ = 27578880. Its totient is φ = 5575680.

The previous prime is 13483633. The next prime is 13483649. The reversal of 13483635 is 53638431.

13483635 = T₃₄₁ + T₃₄₂ + ... + T₄₉₃.

13483635 = 93² + 94² + ... + 345².

13483635 is nontrivially palindromic in base 4.

It is not a de Polignac number, because 13483635 - 2¹ = 13483633 is a prime.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 13483596 and 13483605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13483633) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 586234 + ... + 586256.

It is an arithmetic number, because the mean of its divisors is an integer number (287280).

Almost surely, 2^13483635 is an apocalyptic number.

13483635 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13483635 is an abundant number, since it is smaller than the sum of its proper divisors (14095245).

13483635 is a wasteful number, since it uses less digits than its factorization.

13483635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 78 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 13483635 is about 3672.0069444379. The cubic root of 13483635 is about 238.0139047498.

The spelling of 13483635 in words is "thirteen million, four hundred eighty-three thousand, six hundred thirty-five".