39429 has 12 divisors (see below), whose sum is σ = 61516. Its totient is φ = 24192.

The previous prime is 39419. The next prime is 39439. The reversal of 39429 is 92493.

It is an interprime number because it is at equal distance from previous prime (39419) and next prime (39439).

It can be written as a sum of positive squares in 2 ways, for example, as 8100 + 31329 = 90^2 + 177^2 .

It is not a de Polignac number, because 39429 - 2⁵ = 39397 is a prime.

It is a d-powerful number, because it can be written as 3³ + 9 + 4³ + 2¹⁵ + 9⁴ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52 + ... + 285.

2³⁹⁴²⁹ is an apocalyptic number.

39429 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

39429 is a deficient number, since it is larger than the sum of its proper divisors (22087).

39429 is a wasteful number, since it uses less digits than its factorization.

39429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 353 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 39429 is about 198.5673689205. The cubic root of 39429 is about 34.0360056861.

The spelling of 39429 in words is "thirty-nine thousand, four hundred twenty-nine".