524349 has 36 divisors (see below), whose sum is σ = 933660. Its totient is φ = 282240.

The previous prime is 524347. The next prime is 524351. The reversal of 524349 is 943425.

It is an interprime number because it is at equal distance from previous prime (524347) and next prime (524351).

It can be written as a sum of positive squares in 2 ways, for example, as 127449 + 396900 = 357^2 + 630^2 .

It is not a de Polignac number, because 524349 - 2¹ = 524347 is a prime.

It is a d-powerful number, because it can be written as 5 + 2¹⁹ + 3³ + 4 + 4² + 9 .

Its product of digits (4320) is a multiple of the sum of its prime divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (524341) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12769 + ... + 12809.

It is an arithmetic number, because the mean of its divisors is an integer number (25935).

524349 is a Friedman number, since it can be written as 53+(4+4^9)*2, using all its digits and the basic arithmetic operations.

2⁵²⁴³⁴⁹ is an apocalyptic number.

It is an amenable number.

524349 is a deficient number, since it is larger than the sum of its proper divisors (409311).

524349 is a wasteful number, since it uses less digits than its factorization.

524349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 80 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 524349 is about 724.1194652818. The cubic root of 524349 is about 80.6380743174.

It can be divided in two parts, 52434 and 9, that multiplied together give a triangular number (471906 = T₉₇₁).

The spelling of 524349 in words is "five hundred twenty-four thousand, three hundred forty-nine".