35970 has 32 divisors (see below), whose sum is σ = 95040. Its totient is φ = 8640.

The previous prime is 35969. The next prime is 35977. The reversal of 35970 is 7953.

35970 = T₅ + T₆ + ... + T₅₉.

It is a Curzon number.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 35970.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276 + ... + 384.

It is an arithmetic number, because the mean of its divisors is an integer number (2970).

2³⁵⁹⁷⁰ is an apocalyptic number.

35970 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 35970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47520).

35970 is an abundant number, since it is smaller than the sum of its proper divisors (59070).

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

35970 is a wasteful number, since it uses less digits than its factorization.

35970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130.

The product of its (nonzero) digits is 945, while the sum is 24.

The square root of 35970 is about 189.6575861915. The cubic root of 35970 is about 33.0100979198.

The spelling of 35970 in words is "thirty-five thousand, nine hundred seventy".