35070 has 32 divisors (see below), whose sum is σ = 96768. Its totient is φ = 7968.

The previous prime is 35069. The next prime is 35081. The reversal of 35070 is 7053.

35070 = 13² + 14² + ... + 47².

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127 + ... + 293.

It is an arithmetic number, because the mean of its divisors is an integer number (3024).

2³⁵⁰⁷⁰ is an apocalyptic number.

35070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 35070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48384).

35070 is an abundant number, since it is smaller than the sum of its proper divisors (61698).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

35070 is a wasteful number, since it uses less digits than its factorization.

35070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184.

The product of its (nonzero) digits is 105, while the sum is 15.

The square root of 35070 is about 187.2698587600. The cubic root of 35070 is about 32.7324556887.

The spelling of 35070 in words is "thirty-five thousand, seventy".