34829037 has 12 divisors (see below), whose sum is σ = 50631100. Its totient is φ = 23071464.

The previous prime is 34829023. The next prime is 34829051. The reversal of 34829037 is 73092843.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (34829023) and next prime (34829051).

It can be written as a sum of positive squares in 2 ways, for example, as 184041 + 34644996 = 429^2 + 5886^2 .

It is not a de Polignac number, because 34829037 - 2¹² = 34824941 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34828992 and 34829010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34829077) 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, 221763 + ... + 221919.

Almost surely, 2^34829037 is an apocalyptic number.

It is an amenable number.

34829037 is a deficient number, since it is larger than the sum of its proper divisors (15802063).

34829037 is an frugal number, since it uses more digits than its factorization.

34829037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 34829037 is about 5901.6130845727. The cubic root of 34829037 is about 326.5731602191.

The spelling of 34829037 in words is "thirty-four million, eight hundred twenty-nine thousand, thirty-seven".